Question 5 (20 points) Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded. What is the area of the sector that is not shaded? a 24π square units b 120π square units c 12π square units d 144π square units

Answer:

(x + 9)(x - 7)

Step-by-step explanation:

We want to factorize [tex]x^2 + 2x - 63[/tex]

We need to find two numbers such that their product is -63 and they add up to +2. The two numbers are +9 and -7:

[tex]x^2 + 9x - 7x - 63\\\\= x(x + 9) -7(x +9)\\\\ = (x +9)(x -7)[/tex]

The complete factorization is (x + 9)(x - 7)

The factored form of the expression x² + 2x - 63 is (x + 9)(x - 7).

Given the expression in the question:

x² + 2x - 63

To determine the complete factorization of the quadratic expression x² + 2x - 63, we aim to break it down into its simplest factors.

This is achieved through factoring, a process of identifying the expressions that, when multiplied, result in the original quadratic expression.

x² + 2x - 63

Now, find a pair of integers whose sum equals 2,

and whose product equals -63.

We use integers 9 and -7.

Next, rewrite the quadratic expression using these factors:

(x + 9)(x - 7)

Therefore, the complete factorization of x² + 2x - 63 is (x + 9)(x - 7).

Option C) (x + 9)(x - 7) is the correct answer.

Learn more about factorization here: brainly.com/question/20293447

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Answer:C

Step-by-step explanation:There is definitely enough info.

And there are no angles so it has to be SSS~ (It's dilated by 1.5 by the way)

Answer:

∠ MON = 15°

Step-by-step explanation:

∠ LOM + ∠ MON = ∠ LON, substitute values

9x + 44 + 6x + 3 = 77, that is

15x + 47 = 77 ( subtract 47 from both sides )

15x = 30 ( divide both sides by 15 )

x = 2

Thus

∠ MON = 6x + 3 = 6(2) + 3 = 12 + 3 = 15°

Answer:

The answer is "-51"

Step-by-step explanation:

[tex]\ distance = 5 \frac{unit}{minute}[/tex]

[tex]\ moved \ point = \ time \times \ distance\\\\[/tex]

                  [tex]=10 \times 5 \\\\ = 50[/tex]

In this 50 unit left in point. So, total points which is left are:

[tex]\ moved \ point = point + \ calculated \ point (\ moved\ point)[/tex]

                    [tex]= -1 + -50\\\\=-51[/tex]

Answer:

108

Step-by-step explanation:

"five times a number x, decreased by 2" can be expressed as: 5x - 2

Now,

5x - 2 = 5*22 - 2 = 110 - 2 = 108

Answer:

b is false, idk about a the median is the middle line its 70 in this case

Answer:

a. true

b. false

Step-by-step explanation:

a. 2 parts of diagram are 50% and that's 62 - 70

b. median height is 70 in

Answer:

44 m

Step-by-step explanation:

I'll assume the 5 seconds is from the time he jumped off the board.

This means we are to calculate his height 3 seconds after dropping from the height of 9 m, since he spent 2 seconds springing up off the board from a height of 7 m to the 9 m height.

we use Newton's equation of motion.

We are given

initial velocity U at the height of 9 m = 0 m/s

acceleration due to gravity downwards g  = 9.81 [tex]m/s^{2}[/tex]

distance covered S = ?

time of fall t = 3 seconds

we use S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

S = (0 x 3) + [tex]\frac{1}{2}[/tex](9.81 x [tex]3^{2}[/tex])

S = 0 + 44.145

S = 44 m

Answer:

Each family member gave $4

Step-by-step explanation:

(-44 - (-80))/9

36/9

4

Answer: 22 AUD x 1.2USD / 1AUD

Step-by-step explanation: The expression would be like this:   22 Australian dollars/1.2 (value of Australian dollars to US dollars) = X US dollars/1 We would get the value of x by multiplying 1 to 22 then divide it by 1.2 and we would get the US conversion from it. We could also put the expression 22=1.2x directly and we would get the US conversion from it.

Answer:

0

Step-by-step explanation:

if x stade for any number like 5 then it will be 5-5=0

hope this helps you out need more help ask me

Answer:

52 years

Step-by-step explanation:

Since the mean age of 5 people in that room is 28 years,

∴ Sum₍₅₎= (28×5) years

             = 140 years

Then, one person enters the room which makes the mean age 32 years.

∴Sum₍₆₎= (32×6)years

             = 192 years

∴The age of the person who enters the room= (192 - 140) years

                                                                             = 52 years

Answer:

3.84 * 10^8 meters

Step-by-step explanation:

As the speed of light is 300,000,000 meters/second and the time that the light takes to go from the moon to the Earth is 1.28 seconds, we can find the distance using the formula:

Distance = speed * time

So we have that:

Distance = 300,000,000 * 1.28 = 384,000,000  meters

In cientific notation, we need the first number to be in the interval from 1 to 10, so we have 3.84, and we have to multiply by 10^8 to reach our result, so we have:

Distance = 3.84 * 10^8 meters

Answer:

You might need to repost or edit this question - there are no choices or picture.

Answer:

There are no choices.

Step-by-step explanation:

Answer:

Step-by-step explanation: 2 x2 =4

i am guessing it means 2 to the power of 2

Answer:

[tex]2\log _{10}\left(z\right)=4 : z=100[/tex]

Step-by-step explanation:

[tex]2\log _{10}\left(z\right)=4[/tex]

Divide both sides by 2:

[tex]\frac{2\log _{10}\left(z\right)}{2} =\frac{4}{2}[/tex]

Simplify:

[tex]\log _{10}\left(z\right)=2[/tex]

Use the logarithmic definition: If  [tex]\log _{a}\left(b\right)=c[/tex] then [tex]b=a^c[/tex]

[tex]\log _{10}\left(z\right)=2 \Rightarrow \:z=10^2[/tex]

[tex]z = 10^2[/tex]

Simplify:

[tex]z =100[/tex]

Final answer:

[tex]z=100[/tex]

Hope I helped, if so may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

The answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

a) $926.40

b) $606.32

Step-by-step explanation:

a)

If she worked a total of 45.5 hours, she will receive $19.20 per hour in the first 40 hours and 1.5 * $19.20 for the exceeding 5.5 hours, so her earnings is:

19.2 * 40 + 1.5 * 5.5 * 19.2 = $926.40

b)

The deduction is $34.75, so the remaining will be:

926.40 - 34.75 = $891.65

Then, after this deduction, the taxes is 32% of the remaining, so:

891.65 - 0.32 * 891.65 = $606.32

She received $606.32

Answer: x^2 + 4x + 4

Step-by-step explanation:

Answer:

x^2 + 4x + 4

Step-by-step explanation:

We can do this first

(x + 2)^2

Then we can use our knowledge and do

x^2 +4.

We have to multiple the two by two and then x because that is a rule in

(a + b) ^2

=

a^2 + b^2 + 2ba

So we end up with x^2 + 4x +4

Answer:

45 degrees

Step-by-step explanation:

angle QRS is same as (2x + 3) because it is an isosceles triangle

so, 90 + (2x+3) + (2x+3) =180 degrees

             2x+3 +2x+3=180-90

2x+2x +3+3=90

4x+6=90

4x=90-6

4x=84

x=84/4

x=21

substitute x=21 in (2x+3)

2*21+3=45

Answer:

15x+21=8

subtract 21 from both sides

15x+21-21=8-21

simplify

15x=-13

divide both sides by 15

15x=-13

15      15

x=-13/15

Step-by-step explanation:

Answer:

45+20=65

21+33=54

90+10=100

100+30= 130

Step-by-step explanation:

45+20=65

Doesn't belong as it has an odd numbered answer where as all the others have even answers

HOPE THIS HELPS

entre 3/8 y 9 veces 3/8S

tep-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

x varies inversly inversly with z,

so it Maries linearly.

x to y and then to a can be expressed as

x = m/y

y = n/z

so we can say

x = m/(n/z) = m/n * z

m & n could be any constant numbers, like 5 or 3.7

Here is an example where both are just one:

x = 1/y

y = 1/z

so we can say

x = 1/(1/z) = 1/1 * z

(would really, really appreciate the brainliest)

Answer:

b=9

Step-by-step explanation:

move the 4b over to the other side by adding it to both sides

[tex]-3b(+4b)=9-4b(+4b)[/tex]

[tex]1b=9[/tex]

Answer:

erm

Step-by-step explanation:

The sides will be:

6cm

6cm

4cm

Answer:

In isosceles triangle two sides are equal . Let the length be x .hence perimeter can be given as x + x + 6 . Therefore 2x + 6 = 16 . And 2x = 10 .and hence x =5 . So the length of each side is 5 cm

Step-by-step explanation:

What is the nth term to this sequence 18,16,14,12 ?

Answer: 4

Explanation:

1. 18

2. 16

3. 14

4. 14

5. 12

6. 10

7. 8

8. 6

9. 4

Answer:

Hey!

The nth term for your sequence is -2!

Step-by-step explanation:

18 - 2 = 16

16 - 2 =14

And so on! (the nth term of a sequence is basically the differences between the different terms!)

HOPE THIS HELPS!!

Only one of those is actually a prime factorization.  Demand better from your teacher.  Anyway, I think they're just asking us to take out the calculator and enter the multiplication into it.

5) 22 isn't prime, neither is 52.  Answer:  3432

6) 32 isn't prime.  Answer: 448

7) 33 isn't prime.  Answer: 165

8)  Finally a real prime factorization.  Answer: 106

Answer:

$55

Step-by-step explanation:

5 tickets = $25

1 ticket = $5 (divide by 5 on both sides)

multiply by 11

11 tickets = 5 ×11

11 tickets = $55

Answer:

[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}[/tex]

Decimal Form:

[tex]x = -267.38030...[/tex]

Step-by-step explanation:

[tex]-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14[/tex]

Remove Parentheses: [tex](-a) = -a[/tex]

[tex]-3^{\circ \:}x\left(-3\right)=-3\cdot \:14[/tex]

Multiply the numbers: [tex]3 * 14 = 42[/tex]

[tex]-3^{\circ \:}x\left(-3\right)=-42[/tex]

Divide both sides by: [tex]-3^{\circ \:}\left(-3\right)[/tex]

[tex]\frac{-3^{\circ \:}x\left(-3\right)}{-3^{\circ \:}\left(-3\right)}=\frac{-42}{-3^{\circ \:}\left(-3\right)}[/tex]

Simplify:

[tex]x=-\frac{840}{180^{\circ \:}}[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)